Trigonometric InequalitiesGeometry Level 2
If a triangle has internal angles A, B, and C, none of which exceeds 90°.
Then the following inequalities are true.
sin A + sin B + sin C > p
cos A + cos B + cos C > q
tan (A/2) + tan (B/2) + tan (C/2) < r
Where p, q and r are all integers > 0
Find p + q + r